Physics, 17.07.2019 17:30 arnold2619

Ashuffleboard puck having an initial speed of 5 m/s slides 8.0 m before coming to rest. what is the coefficient of kinetic friction between the puck and the surface?

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The puck comes to rest due to the work done by the frictional force against the motion of the puck. We can solve the problem by using the work-energy theorem, which states that the work done by the frictional force is equal to the variation of kinetic energy of the puck:
W=K_f-K_i

where

is the final kinetic energy of the puck (which is zero, since the final velocity of the puck is zero), and
$K_i= \frac{1}{2}mv^2$
is the initial kinetic energy of the puck, with m being the mass of the puck and v its initial velocity.

We can also rewrite the work done as the product between the frictional force and the distance covered by the puck
$W=-\mu mg d$
where $\mu$ is the coefficienct of kinetic friction, and where the negative sign is due to the fact that the frictional force acts against the direction of the motion. By combining the three equations together, we get
$\mu g d = \frac{1}{2}v^2$
from which we can find the coefficient of kinetic friction:
$\mu = \frac{v^2}{2gd}= \frac{(5 m/s)^2}{2(9.81 m/s^2)(8.0 m)}=0.16$

Answer from: Quest

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance (d) = 3 feet

time taken to lift (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

1 h.p = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

h.p = (force × distance)/ time

= (10 × 3)/ 10

= 30/10

= 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts

Answer from: Quest

powerful computers now, not then

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Ashuffleboard puck having an initial speed of 5 m/s slides 8.0 m before coming to rest. what is the...

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